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professor190 [17]
3 years ago
12

Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

y = x

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-8 - 0) / (-8 - 0)

-8 / -8

= 1

So, the slope is 1.

Plug in the slope and a point into y = mx + b and solve for b:

y = mx + b

-8 = 1(-8) + b

-8 = -8 + b

0 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 1x + 0

y = x

So, the equation of the line is y = x

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andriy [413]

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8 d5 e2

Step-by-step explanation:

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3 years ago
There were three parts to Rita's race. She ran the first part, which was 4/9
IrinaVladis [17]

Answer:

300 meters per minute

Step-by-step explanation:

Step 1

Determine the fraction of the total distance for each part of the race.

Given:

1st part of race = 4/9 of total distance

2nd part of race = 2/5 of remaining distance

Step 2

Determine the distance of the third part of the race.

Given:

time = 15 minutes

speed = 300 meters per minute

Step 3

If the third part of the race (which is 1/3 of the total distance) is 4500m, then the distance of the whole race is:

Step 4

Determine the distance of the 1st part of the race:

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Given:

time = 20 minutes

distance = 6000 m

3 0
2 years ago
Questions:
Nimfa-mama [501]
Bread - 3 choices
Meat - 5 choices
Veggies - 7 choices

1br 1mt 1vg = 3×5×7 = 105

1br 2mt 3 vg = 3×5×4×7×6×5 =12600

7vg 1br = 3×1 = 3
6 0
4 years ago
Rochelle can run 800 meters in 5 minut
Semmy [17]
To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.

She runs 160 meters in one minute.

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She can run 1,440 meters in 9 minutes.
8 0
3 years ago
In 1987​, 522 comma 000 people worked in the air transportation industry. In 2003​, the number was 480 comma 000. ​(a) Find a li
umka2103 [35]

Answer:

the linear equation is :

y= -2625x+5737875

and 440000 employees will be in year 2271

Step-by-step explanation:

in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e

x1= 1987 y1= 522,000  

and

 

x2= 2003, y2 = 480000

according to two point form:

y-y1 = (y2-y1) \frac{x-x1}{x2-x1}

In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,

y - 522000 = \frac{480000-522000}{2003-1987}  (x-1987)\\y- 522000 = -2625(x-1987)\\y- 522000= -2625x+5215875\\\\y= -2625x+5737875

now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation

440000= -2625x+ 5737875\\\\2526x = 5737875 -440000\\2526x =  5736555\\x= \frac{5736555}{2526} \\x= 2271

7 0
3 years ago
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